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johnruina 676f3f72dd Fluid and Conservation Laws: 2026-08-21 00:32:18 2026-08-21 00:32:19 -04:00
johnruina 1ae629563c 2026-08-20 21:54:58: Fluids 2026-08-20 21:54:59 -04:00
28 changed files with 88 additions and 523 deletions
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[[biology]]
[[Biology]]
* In the exam, always connect an organelle to a specific function
@@ -1,4 +1,4 @@
[[biology]]
[[Biology]]
Cell structure and function boils down to the idea that each subcellular component has a structure that supports a singular job.
@@ -1 +1 @@
[[biology]]
[[Biology]]
@@ -1 +1 @@
[[biology]]
[[Biology]]
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[[chemistry]]
[[Chemistry]]
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[[chemistry]]
[[Chemistry]]
**"calculation of relative quantities of reactants and products in chemical reactions"**
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[[chemistry]]
[[Chemistry]]
**main types**
synthesis
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[[chemistry]]
[[Chemistry]]
periods are rows
groups are columns
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[[chemistry]]
[[Chemistry]]
**"a charged chemical species composed of two or more atoms covalently bonded or of a metal complex, that can be considered to be acting as a single unit"
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[[literacy]]
[[Literacy]]
really buzzy buzzwords
praxis - implementation of a theory
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[[literacy]]
[[Literacy]]
things you use in an argument with no bearing to logic or the argument
ad hominem - insulting the other guy
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[[math]]
[[Math]]
basically just the comedically easy stuff
like what do i even write here it's all too easy
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[[math]]
[[Math]]
basically just the hard stuff
fundamental theorem of calculus![[Pasted image 20260816065000.png]]![[Pasted image 20260816065016.png]]
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[[math]]
[[Math]]
# different types of games
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[[math]]
[[Math]]
[[vectors]]
[[matrices]]
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[[math]]
[[Math]]
basically arrays of arrays
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[[math]]
[[Math]]
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the stupidly easy stuff
[[math]]
[[Math]]
basically just ^2 shit
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[[math]]
[[Math]]
basically just the easy stuff
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[[medical]]
[[Medical]]
### Therapeutic class
Analgesics - pain relievers (opiods,nsaids)
Antibiotics/Antimicrobial - treat bacterial and fungal infections
@@ -0,0 +1,9 @@
[[Fluids]]
# Summary
* Pressure difference between fluids causes flow.
* $A_1v_1=A_2v_2$ expresses conservation of mass. Narrow area force faster speeds to incompressible fluids.
* Bernoulli's equation: $P_1+pgy_1+\frac{1}{2}pv_1^2=P_1+pgy_2+\frac{1}{2}pv_2^2$ expresses conservation of energy along a streamline.
* Faster fluid has lower pressure and vice versa
* Torricelli's theorem: $v=\sqrt{2g\Delta y}$ is derived from energy conservation and gives exit speed of draining fluid.
* Assume fluids are ideal unless stated otherwise.
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[[Fluids]]
# Summary
* Fluid particles obey Newton laws.
* Buoyant force is a net upwards force on an object in a fluid, caused by pressure and increases with depth.
* Buoyant force equals weight of fluid displaced: $F_b=pVg$ where p is fluid density and V is displaced volume.
* For a floating object, buoyant force equals the object's weight: $V_{submerged}/V=p_{object}/P_{fluid}$
* Object floats when density is less than fluids and sinks when it's greater.
@@ -0,0 +1,9 @@
[[Fluids]]
# Summary
* Fluids are substances with no fixed shape.
* Density: $p=m/V$
* Difference between states of matter is how strongly their particles interact.
* Object floats when density is less than surrounds density.
* Ideal fluid has no viscosity and is incompressible.
* Density changes with temperature and pressure.
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[[Fluids]]
Pressure is perpendicular force acting on a surface divided by area.
# Summary
* $P=\frac{F_\perp}{A}$
* Scalar.
* Incompressible fluids keep constant density and volume when pressure changes.
* $P=P_0+pgh$
* At the fluid surface h is 0.
* Measured in pascals (1 Pa = N/m^2)
# Absolute vs Gauge Pressure
Absolute pressure is total pressure: $P=P_0+pgh$, where $P_0$ is a reference pressure such as atmospheric pressure ($P_{atm}$) and gauge pressures is $pgh$. Positive gauge pressure means above atmospheric, negative means below.
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[[Physics]]
* Assume fluids are ideal unless stated otherwise.
@@ -8,6 +8,7 @@ Several discrete objects:
$$I_{tot}=\Sigma I_i=\Sigma m_i r^2$$
# Parallel Axis Theorem
Essentially shifting the axis and calculating the new inertia.
$$I'=I_{cm}+Md^2$$
- $I$' is rotational inertia about the parallel axis (kg⋅m²)
- $I_{cm}$ is rotational inertia about the center-of-mass axis (kg⋅m²)